Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, A

Time bar (total: 9.4s)

analyze37.0ms (0.4%)

Memory
-5.1MiB live, 72.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample1.0s (10.8%)

Memory
20.4MiB live, 1 371.8MiB allocated
Samples
630.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 356.0ms
ival-mult: 150.0ms (42.2% of total)
ival-add: 81.0ms (22.8% of total)
ival-div: 66.0ms (18.5% of total)
ival-sub: 41.0ms (11.5% of total)
exact: 9.0ms (2.5% of total)
ival-true: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess492.0ms (5.2%)

Memory
-10.3MiB live, 279.6MiB allocated
Algorithm
egg-herbie
Rules
4 256×accelerator-lowering-fma.f32
4 256×accelerator-lowering-fma.f64
1 398×div-sub
1 352×div-sub
1 344×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050143
1134130
2397130
31129130
43308114
57511114
01213
12413
25213
310213
420413
54629
69349
717669
828819
946089
1053459
1159419
1259489
1359509
1459509
1561689
1662779
1762779
1862779
1962779
2063099
2164359
064358
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
Call 2
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y))
(+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y)))
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y))
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y)))
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y))))
(neg (+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y)))
(+ 1 (/ (* 4 (- (+ y (* x 3/4)) z)) x))
(+ 1 (/ (* 4 (- (+ z (* y 3/4)) x)) y))
(+ 1 (/ (* 4 (- (+ x (* z 3/4)) y)) z))
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+ 1 (* 4 (- 3/4 (/ (- z x) y))))
(+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y))
(+ 1 (* 4 (- 3/4 (/ (+ x z) y))))
(+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y)))
(+ 1 (* 4 (+ 3/4 (/ (- z x) y))))
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y))
(- 1 (* 4 (- -3/4 (/ (+ x z) y))))
(neg (+ 1 (/ (* 4 (- (+ (neg x) (* y 3/4)) z)) y)))
(+ -1 (* 4 (+ -3/4 (/ (+ x z) y))))
(neg (+ 1 (/ (* 4 (- (+ x (* (neg y) 3/4)) z)) (neg y))))
(+ -1 (* 4 (+ -3/4 (/ (- x z) y))))
(neg (+ 1 (/ (* 4 (- (+ x (* y 3/4)) (neg z))) y)))
(+ -1 (* 4 (- -3/4 (/ (+ x z) y))))
(+ 1 (/ (* 4 (- (+ y (* x 3/4)) z)) x))
(- 1 (* (- (- z (* x 3/4)) y) (/ 4 x)))
(+ 1 (/ (* 4 (- (+ z (* y 3/4)) x)) y))
(+ 1 (* 4 (+ 3/4 (/ (- z x) y))))
(+ 1 (/ (* 4 (- (+ x (* z 3/4)) y)) z))
(+ 1 (* (+ x (- (* z 3/4) y)) (/ 4 z)))

explain182.0ms (1.9%)

Memory
6.9MiB live, 316.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 y #s(literal 3/4 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 3/4 binary64)
00-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
00-0-y
00-0-(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
00-0-(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
78.0ms472×0valid
10.0ms3valid
3.0ms24×1valid
2.0ms2valid
Compiler

Compiled 144 to 52 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sub: 17.0ms (46% of total)
ival-mult: 8.0ms (21.6% of total)
ival-add: 5.0ms (13.5% of total)
ival-div: 4.0ms (10.8% of total)
adjust: 1.0ms (2.7% of total)
exact: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify343.0ms (3.6%)

Memory
-20.6MiB live, 268.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z))
cost-diff128
(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
cost-diff192
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
cost-diff320
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Rules
4 256×accelerator-lowering-fma.f32
4 256×accelerator-lowering-fma.f64
1 352×div-sub
1 344×*-lowering-*.f32
1 344×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
12454
25254
310254
420454
546248
693448
7176648
8288148
9460848
10534548
11594148
12594848
13595048
14595048
15616848
16627748
17627748
18627748
19627748
20630948
21643548
0643543
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
1
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
(* 4 (- (+ x (* y 3/4)) z))
4
(- (+ x (* y 3/4)) z)
(+ x (* y 3/4))
x
(* y 3/4)
y
3/4
z
Outputs
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
1
#s(literal 1 binary64)
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))
(* 4 (- (+ x (* y 3/4)) z))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
4
#s(literal 4 binary64)
(- (+ x (* y 3/4)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(+ x (* y 3/4))
(fma.f64 y #s(literal 3/4 binary64) x)
x
(* y 3/4)
(*.f64 y #s(literal 3/4 binary64))
y
3/4
#s(literal 3/4 binary64)
z

localize36.0ms (0.4%)

Memory
-6.1MiB live, 74.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
accuracy100.0%
(-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)
accuracy99.9%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
accuracy99.9%
(+.f64 x (*.f64 y #s(literal 3/4 binary64)))
Samples
17.0ms236×0valid
2.0ms12×1valid
1.0ms3valid
1.0ms2valid
Compiler

Compiled 56 to 14 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.5% of total)
ival-add: 3.0ms (28.1% of total)
ival-div: 2.0ms (18.7% of total)
adjust: 1.0ms (9.4% of total)
ival-sub: 1.0ms (9.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-11.1MiB live, 25.0MiB allocated
Counts
5 → 168
Calls
Call 1
Inputs
#<alt (/ (* 4 (- (+ x (* y 3/4)) z)) y)>
#<alt (+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))>
#<alt (+ x (* y 3/4))>
#<alt (* 4 (- (+ x (* y 3/4)) z))>
#<alt (- (+ x (* y 3/4)) z)>
Outputs
#<alt (* 4 (/ (- (* 3/4 y) z) y))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (* 4 (/ (+ x (* 3/4 y)) y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* 3/4 y)>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt x>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt (* x (+ 1 (* 3/4 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -3/4 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (* 3/4 y))>
#<alt (* 3/4 y)>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* y (+ 3/4 (/ x y)))>
#<alt (* 3/4 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 3/4)))>
#<alt (* 4 (- (* 3/4 y) z))>
#<alt (+ (* 4 x) (* 4 (- (* 3/4 y) z)))>
#<alt (+ (* 4 x) (* 4 (- (* 3/4 y) z)))>
#<alt (+ (* 4 x) (* 4 (- (* 3/4 y) z)))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))>
#<alt (* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))>
#<alt (* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))>
#<alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))>
#<alt (* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))>
#<alt (* 4 (- x z))>
#<alt (+ (* 3 y) (* 4 (- x z)))>
#<alt (+ (* 3 y) (* 4 (- x z)))>
#<alt (+ (* 3 y) (* 4 (- x z)))>
#<alt (* 3 y)>
#<alt (* y (+ 3 (* 4 (/ (- x z) y))))>
#<alt (* y (+ 3 (* 4 (/ (- x z) y))))>
#<alt (* y (+ 3 (* 4 (/ (- x z) y))))>
#<alt (* 3 y)>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 3)))>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 3)))>
#<alt (* -1 (* y (- (* -4 (/ (- x z) y)) 3)))>
#<alt (* 4 (+ x (* 3/4 y)))>
#<alt (+ (* -4 z) (* 4 (+ x (* 3/4 y))))>
#<alt (+ (* -4 z) (* 4 (+ x (* 3/4 y))))>
#<alt (+ (* -4 z) (* 4 (+ x (* 3/4 y))))>
#<alt (* -4 z)>
#<alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))>
#<alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))>
#<alt (* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))>
#<alt (* -4 z)>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))>
#<alt (- (* 3/4 y) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt x>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (- x z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (* 3/4 y)>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* 3/4 y)>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(* 4 (- (+ x (* y 3/4)) z))
1.0ms
y
@-inf
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
1.0ms
x
@0
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
1.0ms
x
@inf
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
1.0ms
x
@-inf
(/ (* 4 (- (+ x (* y 3/4)) z)) y)

rewrite629.0ms (6.7%)

Memory
-6.6MiB live, 606.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 902×accelerator-lowering-fma.f32
6 902×accelerator-lowering-fma.f64
5 378×*-lowering-*.f32
5 378×*-lowering-*.f64
3 678×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
16845
262345
0846939
Stop Event
iter limit
node limit
Counts
5 → 436
Calls
Call 1
Inputs
(/ (* 4 (- (+ x (* y 3/4)) z)) y)
(+ 1 (/ (* 4 (- (+ x (* y 3/4)) z)) y))
(+ x (* y 3/4))
(* 4 (- (+ x (* y 3/4)) z))
(- (+ x (* y 3/4)) z)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) #s(literal 4 binary64))))
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(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z z))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z))))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (*.f64 z z) (fma.f64 z z (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 z z)) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))))
(*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (neg.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))
(*.f64 (*.f64 (fma.f64 x x (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x))) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) (-.f64 (fma.f64 y #s(literal 3/4 binary64) (neg.f64 z)) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))))
(*.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 (+.f64 x (*.f64 y #s(literal -3/4 binary64))) z)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x (*.f64 y #s(literal -3/4 binary64))) z)))
(*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))
(*.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (*.f64 (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 z (*.f64 (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (-.f64 (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (/.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z (neg.f64 z)))) (*.f64 (fma.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))) (-.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z)))))
(*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (+.f64 x (fma.f64 y #s(literal 3/4 binary64) z))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 z (*.f64 z z)))) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 z (-.f64 z (fma.f64 y #s(literal 3/4 binary64) x)))))

simplify476.0ms (5%)

Memory
19.3MiB live, 539.3MiB allocated
Algorithm
egg-herbie
Rules
12 206×accelerator-lowering-fma.f32
12 206×accelerator-lowering-fma.f64
4 778×*-lowering-*.f32
4 778×*-lowering-*.f64
2 668×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01481462
14461462
212221252
336841200
082661070
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 4 (/ (- (* 3/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
3
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(+ 3 (* 4 (/ (- x z) y)))
(* 4 (/ (+ x (* 3/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(* -4 (/ z y))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* 3/4 y)
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(+ x (* 3/4 y))
x
(* x (+ 1 (* 3/4 (/ y x))))
(* x (+ 1 (* 3/4 (/ y x))))
(* x (+ 1 (* 3/4 (/ y x))))
x
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
x
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(+ x (* 3/4 y))
(* 3/4 y)
(* y (+ 3/4 (/ x y)))
(* y (+ 3/4 (/ x y)))
(* y (+ 3/4 (/ x y)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(* 4 (- (* 3/4 y) z))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(* 4 x)
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(* 4 (- x z))
(+ (* 3 y) (* 4 (- x z)))
(+ (* 3 y) (* 4 (- x z)))
(+ (* 3 y) (* 4 (- x z)))
(* 3 y)
(* y (+ 3 (* 4 (/ (- x z) y))))
(* y (+ 3 (* 4 (/ (- x z) y))))
(* y (+ 3 (* 4 (/ (- x z) y))))
(* 3 y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(* 4 (+ x (* 3/4 y)))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(- (* 3/4 y) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(- x z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(* 3/4 y)
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(+ x (* 3/4 y))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(* -1 z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
Outputs
(* 4 (/ (- (* 3/4 y) z) y))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* 4 (/ (+ x (* 3/4 y)) y))
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -3 binary64)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 1 (* 4 (/ (- (* 3/4 y) z) y)))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) (*.f64 (fma.f64 z (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) (*.f64 (fma.f64 z (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) (*.f64 (fma.f64 z (/.f64 #s(literal 4 binary64) y) #s(literal -4 binary64)) #s(literal 1 binary64)))
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 y (-.f64 x z)) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 y (-.f64 x z)) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 y (-.f64 x z)) y))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
x
(* x (+ 1 (* 3/4 (/ y x))))
(fma.f64 #s(literal 3/4 binary64) y x)
(* x (+ 1 (* 3/4 (/ y x))))
(fma.f64 #s(literal 3/4 binary64) y x)
(* x (+ 1 (* 3/4 (/ y x))))
(fma.f64 #s(literal 3/4 binary64) y x)
x
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* -1 (* x (- (* -3/4 (/ y x)) 1)))
(fma.f64 #s(literal 3/4 binary64) y x)
x
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(* y (+ 3/4 (/ x y)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* y (+ 3/4 (/ x y)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* y (+ 3/4 (/ x y)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 3/4)))
(fma.f64 #s(literal 3/4 binary64) y x)
(* 4 (- (* 3/4 y) z))
(fma.f64 y #s(literal 3 binary64) (*.f64 z #s(literal -4 binary64)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(+ (* 4 x) (* 4 (- (* 3/4 y) z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* x (+ 4 (* 4 (/ (- (* 3/4 y) z) x))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -1 (* x (- (* -4 (/ (- (* 3/4 y) z) x)) 4)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* 4 (- x z))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
(+ (* 3 y) (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(+ (* 3 y) (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(+ (* 3 y) (* 4 (- x z)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* y (+ 3 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* y (+ 3 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* y (+ 3 (* 4 (/ (- x z) y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 3)))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* 4 (+ x (* 3/4 y)))
(fma.f64 y #s(literal 3 binary64) (*.f64 #s(literal 4 binary64) x))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(+ (* -4 z) (* 4 (+ x (* 3/4 y))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* z (- (* 4 (/ (+ x (* 3/4 y)) z)) 4))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 3/4 y)) z)))))
(fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64)))
(- (* 3/4 y) z)
(-.f64 (*.f64 #s(literal 3/4 binary64) y) z)
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- x z)
(-.f64 x z)
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(- (+ x (* 3/4 y)) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* 3/4 y)
(*.f64 #s(literal 3/4 binary64) y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(+ x (* 3/4 y))
(fma.f64 #s(literal 3/4 binary64) y x)
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 z)
(neg.f64 z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(fma.f64 z (/.f64 x z) (-.f64 (*.f64 #s(literal 3/4 binary64) y) z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))

eval77.0ms (0.8%)

Memory
-7.6MiB live, 220.0MiB allocated
Compiler

Compiled 17 472 to 1 930 computations (89% saved)

prune114.0ms (1.2%)

Memory
12.3MiB live, 213.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5968604
Fresh000
Picked101
Done000
Total5978605
Accuracy
100.0%
Counts
605 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.3%
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
100.0%
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
73.8%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
36.6%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
99.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))))
41.1%
(*.f64 z (/.f64 #s(literal -4 binary64) y))
62.4%
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
28.6%
#s(literal 4 binary64)
Compiler

Compiled 150 to 110 computations (26.7% saved)

simplify317.0ms (3.4%)

Memory
-10.3MiB live, 353.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
cost-diff0
(/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))
cost-diff192
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))))
cost-diff704
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)))
cost-diff0
(/.f64 #s(literal -4 binary64) y)
cost-diff0
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))
cost-diff128
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
cost-diff0
(*.f64 #s(literal 4 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
cost-diff0
(-.f64 x z)
cost-diff0
(/.f64 (-.f64 x z) y)
cost-diff0
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
Rules
8 820×accelerator-lowering-fma.f32
8 820×accelerator-lowering-fma.f64
1 544×*-lowering-*.f32
1 544×*-lowering-*.f64
1 304×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023101
153100
2114100
3278100
4677100
5183798
6470198
7691198
8739598
9746398
10751698
11754698
12791698
0811490
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* 4 (/ (- x z) y)) 4)
4
(/ (- x z) y)
(- x z)
x
z
y
4
(/ (* 4 x) y)
(* 4 x)
4
x
y
(neg (+ (* x (/ -4 y)) -4))
(+ (* x (/ -4 y)) -4)
x
(/ -4 y)
-4
y
(+ 1 (/ 4 (/ y (- (+ (* y 3/4) x) z))))
1
(/ 4 (/ y (- (+ (* y 3/4) x) z)))
4
(/ y (- (+ (* y 3/4) x) z))
y
(- (+ (* y 3/4) x) z)
(+ (* y 3/4) x)
3/4
x
z
Outputs
(+ (* 4 (/ (- x z) y)) 4)
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(- x z)
(-.f64 x z)
x
z
y
4
#s(literal 4 binary64)
(/ (* 4 x) y)
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
4
#s(literal 4 binary64)
x
y
(neg (+ (* x (/ -4 y)) -4))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ (* x (/ -4 y)) -4)
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
x
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
y
(+ 1 (/ 4 (/ y (- (+ (* y 3/4) x) z))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 4 binary64))
1
#s(literal 1 binary64)
(/ 4 (/ y (- (+ (* y 3/4) x) z)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 3 binary64))
4
#s(literal 4 binary64)
(/ y (- (+ (* y 3/4) x) z))
(/.f64 y (-.f64 x (fma.f64 y #s(literal -3/4 binary64) z)))
y
(- (+ (* y 3/4) x) z)
(-.f64 x (fma.f64 y #s(literal -3/4 binary64) z))
(+ (* y 3/4) x)
(fma.f64 y #s(literal 3/4 binary64) x)
3/4
#s(literal 3/4 binary64)
x
z

localize77.0ms (0.8%)

Memory
21.8MiB live, 94.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))))
accuracy100.0%
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
accuracy99.8%
(/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))
accuracy99.8%
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)))
accuracy100.0%
(/.f64 #s(literal -4 binary64) y)
accuracy100.0%
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
accuracy99.8%
(fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64))
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
accuracy100.0%
(*.f64 #s(literal 4 binary64) x)
accuracy100.0%
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(/.f64 (-.f64 x z) y)
Samples
47.0ms237×0valid
3.0ms11×1valid
2.0ms3valid
1.0ms2valid
Compiler

Compiled 99 to 25 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-add: 14.0ms (36.6% of total)
ival-div: 13.0ms (34% of total)
ival-mult: 6.0ms (15.7% of total)
ival-sub: 3.0ms (7.9% of total)
adjust: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
-8.4MiB live, 36.1MiB allocated
Counts
12 → 336
Calls
Call 1
Inputs
#<alt (+ (* 4 (/ (- x z) y)) 4)>
#<alt (/ (- x z) y)>
#<alt (- x z)>
#<alt (/ (* 4 x) y)>
#<alt (* 4 x)>
#<alt (neg (+ (* x (/ -4 y)) -4))>
#<alt (+ (* x (/ -4 y)) -4)>
#<alt (/ -4 y)>
#<alt (/ 4 (/ y (- (+ (* y 3/4) x) z)))>
#<alt (+ 1 (/ 4 (/ y (- (+ (* y 3/4) x) z))))>
#<alt (/ y (- (+ (* y 3/4) x) z))>
#<alt (- (+ (* y 3/4) x) z)>
Outputs
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (* -1 (/ z y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (/ x y)>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y)))>
#<alt (/ x y)>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ z (* x y)) (/ 1 y))))>
#<alt (/ x y)>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (+ (* -1 (/ z y)) (/ x y))>
#<alt (* -1 (/ z y))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* z (- (/ x (* y z)) (/ 1 y)))>
#<alt (* -1 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (/ (- x z) y)>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt (* 4 x)>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* 4 (/ x y))>
#<alt (/ (- (* 4 y) (* -4 x)) y)>
#<alt (/ (- (* 4 y) (* -4 x)) y)>
#<alt (/ (- (* 4 y) (* -4 x)) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt -4>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (* -4 (/ x y))>
#<alt (* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))>
#<alt (* -4 (/ x y))>
#<alt (* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* -4 (/ x y))>
#<alt (/ (+ (* -4 x) (* -4 y)) y)>
#<alt (/ (+ (* -4 x) (* -4 y)) y)>
#<alt (/ (+ (* -4 x) (* -4 y)) y)>
#<alt -4>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (- (* -4 (/ x y)) 4)>
#<alt -4>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (- (* -4 (/ x y)) 4)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 3 y) (* 4 (- x z))) y)>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt 3>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (+ 3 (* 4 (/ (- x z) y)))>
#<alt (* 4 (/ (- (* 3/4 y) z) y))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (+ x (* 3/4 y)) y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ (+ 3/4 (/ x y)) z)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt (/ (+ (* 4 y) (* 4 (- x z))) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 4 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- (* 3/4 y) z) y)))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 3/4 (/ z y)))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 1 (* 4 (/ (+ x (* 3/4 y)) y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 3/4 y)) y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ (+ 3/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 3/4 (/ x y)))) z)) (* 4 (/ 1 y)))))>
#<alt (/ y (- x z))>
#<alt (* y (+ (* -3/4 (/ y (pow (- x z) 2))) (/ 1 (- x z))))>
#<alt (* y (+ (* y (- (* 9/16 (/ y (pow (- x z) 3))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))>
#<alt (* y (+ (* y (- (* y (+ (* -27/64 (/ y (pow (- x z) 4))) (* 9/16 (/ 1 (pow (- x z) 3))))) (* 3/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z))))>
#<alt 4/3>
#<alt (+ 4/3 (* -16/9 (/ (- x z) y)))>
#<alt (- (+ 4/3 (* 64/27 (/ (pow (- x z) 2) (pow y 2)))) (* 16/9 (/ (- x z) y)))>
#<alt (- (+ 4/3 (* -256/81 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64/27 (/ (pow (- x z) 2) (pow y 2))) (* 16/9 (/ (- x z) y))))>
#<alt 4/3>
#<alt (+ 4/3 (* -16/9 (/ (- x z) y)))>
#<alt (+ 4/3 (* -1 (/ (- (* -64/27 (/ (pow (- x z) 2) y)) (* -16/9 (- x z))) y)))>
#<alt (+ 4/3 (* -1 (/ (- (* -1 (/ (- (* -256/81 (/ (pow (- x z) 3) y)) (* -64/27 (pow (- x z) 2))) y)) (* -16/9 (- x z))) y)))>
#<alt (/ y (- (* 3/4 y) z))>
#<alt (+ (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 2))) (/ y (- (* 3/4 y) z)))>
#<alt (+ (* x (- (/ (* x y) (pow (- (* 3/4 y) z) 3)) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- (* 3/4 y) z) 4))) (* -1 (/ y (pow (- (* 3/4 y) z) 3))))) (/ y (pow (- (* 3/4 y) z) 2)))) (/ y (- (* 3/4 y) z)))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x)>
#<alt (/ (- (+ y (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x)) x)>
#<alt (/ (- (+ y (* -1 (/ (* y (pow (- (* 3/4 y) z) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- (* 3/4 y) z) 2)) (pow x 2))) (/ (* y (- (* 3/4 y) z)) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (/ (* y (- (* 3/4 y) z)) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x))>
#<alt (/ y (+ x (* 3/4 y)))>
#<alt (+ (/ y (+ x (* 3/4 y))) (/ (* y z) (pow (+ x (* 3/4 y)) 2)))>
#<alt (+ (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 3)) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))>
#<alt (+ (* z (- (* z (- (/ (* y z) (pow (+ x (* 3/4 y)) 4)) (* -1 (/ y (pow (+ x (* 3/4 y)) 3))))) (* -1 (/ y (pow (+ x (* 3/4 y)) 2))))) (/ y (+ x (* 3/4 y))))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) (/ (* y (+ x (* 3/4 y))) z)) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ (+ y (/ (* y (+ x (* 3/4 y))) z)) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z))>
#<alt (- x z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (* 3/4 y)>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* y (- (+ 3/4 (/ x y)) (/ z y)))>
#<alt (* 3/4 y)>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))>
#<alt (- (* 3/4 y) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt (- (+ x (* 3/4 y)) z)>
#<alt x>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt (* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))>
#<alt (+ x (* 3/4 y))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (+ x (+ (* -1 z) (* 3/4 y)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))>
Calls

84 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/ (* 4 x) y)
3.0ms
x
@inf
(* 4 x)
1.0ms
x
@inf
(/ (* 4 x) y)
1.0ms
y
@0
(/ (* 4 x) y)
1.0ms
y
@inf
(/ y (- (+ (* y 3/4) x) z))

rewrite337.0ms (3.6%)

Memory
17.0MiB live, 648.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 788×/-lowering-/.f32
4 788×/-lowering-/.f64
4 612×accelerator-lowering-fma.f32
4 612×accelerator-lowering-fma.f64
4 228×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02383
115482
2126182
0817774
Stop Event
iter limit
node limit
Counts
12 → 566
Calls
Call 1
Inputs
(+ (* 4 (/ (- x z) y)) 4)
(/ (- x z) y)
(- x z)
(/ (* 4 x) y)
(* 4 x)
(neg (+ (* x (/ -4 y)) -4))
(+ (* x (/ -4 y)) -4)
(/ -4 y)
(/ 4 (/ y (- (+ (* y 3/4) x) z)))
(+ 1 (/ 4 (/ y (- (+ (* y 3/4) x) z))))
(/ y (- (+ (* y 3/4) x) z))
(- (+ (* y 3/4) x) z)
Outputs
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 4 binary64))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)))) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(fma.f64 (-.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (-.f64 x z)) y) #s(literal 4 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 4 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64)))))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))
(fma.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 4 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (-.f64 x z))) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 4 binary64))
(fma.f64 (*.f64 (neg.f64 (-.f64 x z)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 4 binary64))
(fma.f64 (/.f64 (neg.f64 (-.f64 x z)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))) (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))) (-.f64 #s(literal 16 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (fma.f64 (/.f64 (-.f64 x z) y) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)) #s(literal -16 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)) #s(literal -16 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (*.f64 #s(literal 4 binary64) (-.f64 x z))) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64)) #s(literal 16 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z))) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 16 binary64)) #s(literal -16 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal -4 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (fma.f64 z (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (fma.f64 z (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (fma.f64 z (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (*.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))) (fma.f64 z (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x))) (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x))) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x))) (/.f64 (*.f64 z z) (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x))) (*.f64 (/.f64 (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x))) (/.f64 (*.f64 z z) (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) #s(literal -1 binary64))
(*.f64 (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (neg.f64 (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))))
(*.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (neg.f64 (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x) (-.f64 (*.f64 z z) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (neg.f64 z))))))
(*.f64 (*.f64 (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x))))
(*.f64 (*.f64 (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) (neg.f64 z))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)) (neg.f64 (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x))))))
(*.f64 (neg.f64 (*.f64 (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)) (fma.f64 y #s(literal 3/4 binary64) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z (fma.f64 y #s(literal 3/4 binary64) x)))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 27/64 binary64) (*.f64 (-.f64 x z) (*.f64 (-.f64 x z) (-.f64 x z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 9/16 binary64) (-.f64 (*.f64 (-.f64 x z) (-.f64 x z)) (*.f64 (*.f64 y #s(literal 3/4 binary64)) (-.f64 x z))))))
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 9/16 binary64)) (*.f64 (-.f64 x z) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 3/4 binary64)) (-.f64 x z))))

simplify528.0ms (5.6%)

Memory
-9.9MiB live, 670.6MiB allocated
Algorithm
egg-herbie
Rules
12 076×accelerator-lowering-fma.f32
12 076×accelerator-lowering-fma.f64
5 750×*-lowering-*.f32
5 750×*-lowering-*.f64
3 698×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03763257
111333151
233312972
083052777
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(+ 4 (* -4 (/ z y)))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(+ 4 (* 4 (/ x y)))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
4
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(+ 4 (* 4 (/ (- x z) y)))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/ x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
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(* -1 (/ z y))
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(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* 4 (/ x y))
(/ (- (* 4 y) (* -4 x)) y)
(/ (- (* 4 y) (* -4 x)) y)
(/ (- (* 4 y) (* -4 x)) y)
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
-4
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(* -4 (/ x y))
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(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))
(* -4 (/ x y))
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* -4 (/ x y))
(/ (+ (* -4 x) (* -4 y)) y)
(/ (+ (* -4 x) (* -4 y)) y)
(/ (+ (* -4 x) (* -4 y)) y)
-4
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
-4
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(- (* -4 (/ x y)) 4)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(* 4 (/ (- x z) y))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
3
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3
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(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
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(+ (* 4 (/ x y)) (* 4 (/ (- (* 3/4 y) z) y)))
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(* x (+ (* 4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y))))
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(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 3/4 (/ z y)) x)) (* 4 (/ 1 y)))))
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(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
4
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4
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4/3
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4/3
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(/ y x)
(/ (+ y (* -1 (/ (* y (- (* 3/4 y) z)) x))) x)
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(/ y x)
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(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 2)) x) (* y (- (* 3/4 y) z))) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- (* 3/4 y) z) 3)) x) (* y (pow (- (* 3/4 y) z) 2))) x)) (* y (- (* 3/4 y) z))) x))) x))
(/ y (+ x (* 3/4 y)))
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(* -1 (/ y z))
(/ (+ (* -1 y) (* -1 (/ (* y (+ x (* 3/4 y))) z))) z)
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(/ (- (+ (* -1 y) (* -1 (/ (* y (pow (+ x (* 3/4 y)) 3)) (pow z 3)))) (+ (/ (* y (+ x (* 3/4 y))) z) (/ (* y (pow (+ x (* 3/4 y)) 2)) (pow z 2)))) z)
(* -1 (/ y z))
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(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z))
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(- x z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(* 3/4 y)
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(* 3/4 y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(- (* 3/4 y) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
(- (+ x (* 3/4 y)) z)
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(+ x (* 3/4 y))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(+ x (+ (* -1 z) (* 3/4 y)))
(* -1 z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
Outputs
(+ 4 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 z (*.f64 y x)) (/.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 z (*.f64 y x)) (/.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 z (*.f64 y x)) (/.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ 4 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) x) (/.f64 #s(literal 4 binary64) y)))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y)))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y)))
(* z (- (+ (* 4 (/ x (* y z))) (* 4 (/ 1 z))) (* 4 (/ 1 y))))
(*.f64 z (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -4 binary64) y)))
(* -4 (/ z y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64)) z)) (neg.f64 z))
(* -1 (* z (+ (* -1 (/ (+ 4 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64)) z)) (neg.f64 z))
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 y (-.f64 x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 y (-.f64 x z))) y)
(/ (+ (* 4 y) (* 4 (- x z))) y)
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 y (-.f64 x z))) y)
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(+ 4 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z (*.f64 y x)) x))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z (*.f64 y x)) x))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z (*.f64 y x)) x))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z (*.f64 y x)) x))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z (*.f64 y x)) x))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z (*.f64 y x)) x))
(/ x y)
(/.f64 x y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* z (- (/ x (* y z)) (/ 1 y)))
(fma.f64 z (/.f64 x (*.f64 z y)) (/.f64 z (neg.f64 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(fma.f64 z (/.f64 x (*.f64 z y)) (/.f64 z (neg.f64 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(fma.f64 z (/.f64 x (*.f64 z y)) (/.f64 z (neg.f64 y)))
(* -1 (/ z y))
(/.f64 z (neg.f64 y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(fma.f64 z (/.f64 x (*.f64 z y)) (/.f64 z (neg.f64 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(fma.f64 z (/.f64 x (*.f64 z y)) (/.f64 z (neg.f64 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(fma.f64 z (/.f64 x (*.f64 z y)) (/.f64 z (neg.f64 y)))
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(fma.f64 x (/.f64 z (neg.f64 x)) x)
(* x (+ 1 (* -1 (/ z x))))
(fma.f64 x (/.f64 z (neg.f64 x)) x)
(* x (+ 1 (* -1 (/ z x))))
(fma.f64 x (/.f64 z (neg.f64 x)) x)
x
(* -1 (* x (- (/ z x) 1)))
(fma.f64 x (/.f64 z (neg.f64 x)) x)
(* -1 (* x (- (/ z x) 1)))
(fma.f64 x (/.f64 z (neg.f64 x)) x)
(* -1 (* x (- (/ z x) 1)))
(fma.f64 x (/.f64 z (neg.f64 x)) x)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(neg.f64 z)
(* z (- (/ x z) 1))
(-.f64 (*.f64 z (/.f64 x z)) z)
(* z (- (/ x z) 1))
(-.f64 (*.f64 z (/.f64 x z)) z)
(* z (- (/ x z) 1))
(-.f64 (*.f64 z (/.f64 x z)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 (*.f64 z (/.f64 x z)) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 (*.f64 z (/.f64 x z)) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 (*.f64 z (/.f64 x z)) z)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ (- (* 4 y) (* -4 x)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ (- (* 4 y) (* -4 x)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ (- (* 4 y) (* -4 x)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
-4
#s(literal -4 binary64)
(- (* -4 (/ x y)) 4)
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(- (* -4 (/ x y)) 4)
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(- (* -4 (/ x y)) 4)
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* -4 (/ x y))
(/.f64 (*.f64 #s(literal -4 binary64) x) y)
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* -1 (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x)))))
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* -4 (/ x y))
(/.f64 (*.f64 #s(literal -4 binary64) x) y)
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* -1 (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* -4 (/ x y))
(/.f64 (*.f64 #s(literal -4 binary64) x) y)
(/ (+ (* -4 x) (* -4 y)) y)
(*.f64 #s(literal -4 binary64) (/.f64 (+.f64 y x) y))
(/ (+ (* -4 x) (* -4 y)) y)
(*.f64 #s(literal -4 binary64) (/.f64 (+.f64 y x) y))
(/ (+ (* -4 x) (* -4 y)) y)
(*.f64 #s(literal -4 binary64) (/.f64 (+.f64 y x) y))
-4
#s(literal -4 binary64)
(- (* -4 (/ x y)) 4)
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(- (* -4 (/ x y)) 4)
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(- (* -4 (/ x y)) 4)
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(- (* -4 (/ x y)) 4)
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(- (* -4 (/ x y)) 4)
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(- (* -4 (/ x y)) 4)
(fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal -4 binary64))
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(* 4 (/ (- x z) y))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) y)
(/ (+ (* 3 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x z) (*.f64 y #s(literal 3 binary64))) y)
3
#s(literal 3 binary64)
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 4 (/ (- x z) y)))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 3 binary64))
(+ 3 (* 4 (/ (- x z) y)))
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(/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))) z)
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* y (pow (+ x (* 3/4 y)) 2)) z)) (* y (+ x (* 3/4 y)))) z))) z))
(/.f64 (neg.f64 (fma.f64 y (*.f64 (+.f64 (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) #s(literal 1 binary64)) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) y)) z)
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (+ x (* 3/4 y)) 3)) z) (* -1 (* y (pow (+ x (* 3/4 y)) 2)))) z)) (* y (+ x (* 3/4 y)))) z))) z))
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 y (fma.f64 y #s(literal 3/4 binary64) x) (/.f64 (*.f64 y (fma.f64 (fma.f64 y #s(literal 3/4 binary64) x) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)) (*.f64 (fma.f64 y #s(literal 3/4 binary64) x) (fma.f64 y #s(literal 3/4 binary64) x)))) z))) z) y) z)
(- x z)
(-.f64 x z)
(- (+ x (* 3/4 y)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(- (+ x (* 3/4 y)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(- (+ x (* 3/4 y)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(* 3/4 y)
(*.f64 y #s(literal 3/4 binary64))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(*.f64 y (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(*.f64 y (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64)))
(* y (- (+ 3/4 (/ x y)) (/ z y)))
(*.f64 y (+.f64 (/.f64 (-.f64 x z) y) #s(literal 3/4 binary64)))
(* 3/4 y)
(*.f64 y #s(literal 3/4 binary64))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(neg.f64 (*.f64 y (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 x z) y))))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(neg.f64 (*.f64 y (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 x z) y))))
(* -1 (* y (- (* -1 (/ (- x z) y)) 3/4)))
(neg.f64 (*.f64 y (-.f64 #s(literal -3/4 binary64) (/.f64 (-.f64 x z) y))))
(- (* 3/4 y) z)
(-.f64 (*.f64 y #s(literal 3/4 binary64)) z)
(- (+ x (* 3/4 y)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(- (+ x (* 3/4 y)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(- (+ x (* 3/4 y)) z)
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
x
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(fma.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) x) x)
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(fma.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) x) x)
(* x (- (+ 1 (* 3/4 (/ y x))) (/ z x)))
(fma.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) x) x)
x
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (* 3/4 y) z) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 3/4 binary64)) z) x)) (neg.f64 x))
(+ x (* 3/4 y))
(fma.f64 y #s(literal 3/4 binary64) x)
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(+ x (+ (* -1 z) (* 3/4 y)))
(-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(-.f64 (*.f64 z (fma.f64 #s(literal 3/4 binary64) (/.f64 y z) (/.f64 x z))) z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(-.f64 (*.f64 z (fma.f64 #s(literal 3/4 binary64) (/.f64 y z) (/.f64 x z))) z)
(* z (- (+ (* 3/4 (/ y z)) (/ x z)) 1))
(-.f64 (*.f64 z (fma.f64 #s(literal 3/4 binary64) (/.f64 y z) (/.f64 x z))) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(fma.f64 z (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(fma.f64 z (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 3/4 y)) z)))))
(fma.f64 z (/.f64 (fma.f64 y #s(literal 3/4 binary64) x) z) (neg.f64 z))

eval141.0ms (1.5%)

Memory
-1.2MiB live, 222.6MiB allocated
Compiler

Compiled 17 399 to 2 123 computations (87.8% saved)

prune95.0ms (1%)

Memory
2.9MiB live, 216.3MiB allocated
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New8984902
Fresh123
Picked325
Done000
Total9028910
Accuracy
100.0%
Counts
910 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.5%
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
67.4%
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
73.8%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
36.6%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
76.9%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z))))
41.1%
(*.f64 z (/.f64 #s(literal -4 binary64) y))
36.5%
(*.f64 x (/.f64 #s(literal 4 binary64) y))
28.6%
#s(literal 4 binary64)
Compiler

Compiled 124 to 92 computations (25.8% saved)

simplify101.0ms (1.1%)

Memory
-5.6MiB live, 108.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
cost-diff0
(/.f64 z y)
cost-diff0
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
cost-diff0
(/.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 z (/.f64 #s(literal -4 binary64) y))
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(*.f64 x (/.f64 #s(literal 4 binary64) y))
cost-diff0
(-.f64 x z)
cost-diff0
(/.f64 y (-.f64 x z))
cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z))))
cost-diff384
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z)))
Rules
1 520×accelerator-lowering-fma.f32
1 520×accelerator-lowering-fma.f64
688×*-lowering-*.f32
688×*-lowering-*.f64
400×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02078
14078
25578
39178
414878
523578
638778
765778
8111178
9193978
10243578
11271478
12276478
13278678
14278878
0278875
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ 1 (/ 4 (/ y (- x z))))
1
(/ 4 (/ y (- x z)))
4
(/ y (- x z))
y
(- x z)
x
z
(* x (/ 4 y))
x
(/ 4 y)
4
y
(* z (/ -4 y))
z
(/ -4 y)
-4
y
(+ (* -4 (/ z y)) 4)
-4
(/ z y)
z
y
4
(+ (* (/ x y) 4) 4)
(/ x y)
x
y
4
Outputs
(+ 1 (/ 4 (/ y (- x z))))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ 4 (/ y (- x z)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
4
#s(literal 4 binary64)
(/ y (- x z))
(/.f64 y (-.f64 x z))
y
(- x z)
(-.f64 x z)
x
z
(* x (/ 4 y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
x
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
4
#s(literal 4 binary64)
y
(* z (/ -4 y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
z
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
y
(+ (* -4 (/ z y)) 4)
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
-4
#s(literal -4 binary64)
(/ z y)
(/.f64 z y)
z
y
4
#s(literal 4 binary64)
(+ (* (/ x y) 4) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ x y)
(/.f64 x y)
x
y
4
#s(literal 4 binary64)

localize70.0ms (0.7%)

Memory
7.6MiB live, 165.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
accuracy100.0%
(/.f64 z y)
accuracy100.0%
(/.f64 #s(literal -4 binary64) y)
accuracy99.6%
(*.f64 z (/.f64 #s(literal -4 binary64) y))
accuracy100.0%
(/.f64 #s(literal 4 binary64) y)
accuracy99.7%
(*.f64 x (/.f64 #s(literal 4 binary64) y))
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z))))
accuracy100.0%
(/.f64 y (-.f64 x z))
accuracy99.2%
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z)))
Samples
40.0ms256×0valid
Compiler

Compiled 78 to 22 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 12.0ms (45.1% of total)
ival-mult: 9.0ms (33.8% of total)
ival-add: 3.0ms (11.3% of total)
ival-sub: 2.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
27.0MiB live, 27.0MiB allocated
Counts
12 → 300
Calls
Call 1
Inputs
#<alt (/ 4 (/ y (- x z)))>
#<alt (+ 1 (/ 4 (/ y (- x z))))>
#<alt (/ y (- x z))>
#<alt (- x z)>
#<alt (* x (/ 4 y))>
#<alt (/ 4 y)>
#<alt (* z (/ -4 y))>
#<alt (/ -4 y)>
#<alt (+ (* -4 (/ z y)) 4)>
#<alt (/ z y)>
#<alt (+ (* (/ x y) 4) 4)>
#<alt (/ x y)>
Outputs
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt (/ (+ y (* 4 (- x z))) y)>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt 1>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* 4 (/ (- x z) y)))>
#<alt (+ 1 (* -4 (/ z y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (+ (/ 1 x) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))>
#<alt (+ 1 (* 4 (/ x y)))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ x y))))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (+ (* 4 (/ x (* y z))) (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))>
#<alt (/ y (- x z))>
#<alt (/ y (- x z))>
#<alt (/ y (- x z))>
#<alt (/ y (- x z))>
#<alt (/ y (- x z))>
#<alt (/ y (- x z))>
#<alt (/ y (- x z))>
#<alt (/ y (- x z))>
#<alt (/ y (- x z))>
#<alt (/ y (- x z))>
#<alt (/ y (- x z))>
#<alt (/ y (- x z))>
#<alt (* -1 (/ y z))>
#<alt (+ (* -1 (/ y z)) (* -1 (/ (* x y) (pow z 2))))>
#<alt (+ (* -1 (/ y z)) (* x (- (* -1 (/ (* x y) (pow z 3))) (/ y (pow z 2)))))>
#<alt (+ (* -1 (/ y z)) (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (/ y (pow z 3)))) (/ y (pow z 2)))))>
#<alt (/ y x)>
#<alt (/ (+ y (/ (* y z) x)) x)>
#<alt (/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)>
#<alt (/ (- (+ y (/ (* y (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* y (pow z 2)) (pow x 2))))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (* y z) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y z) (/ (* y (pow z 2)) x)) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow z 2))) (* -1 (/ (* y (pow z 3)) x))) x)) (* y z)) x))) x))>
#<alt (/ y x)>
#<alt (+ (/ y x) (/ (* y z) (pow x 2)))>
#<alt (+ (* z (- (/ (* y z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ y x))>
#<alt (+ (* z (- (* z (- (/ (* y z) (pow x 4)) (* -1 (/ y (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ y x))>
#<alt (* -1 (/ y z))>
#<alt (/ (+ (* -1 y) (* -1 (/ (* x y) z))) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (/ (* x y) z)) z)>
#<alt (/ (- (+ (* -1 y) (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))) z)>
#<alt (* -1 (/ y z))>
#<alt (* -1 (/ (+ y (/ (* x y) z)) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow x 2) y) z)) (* x y)) z))) z))>
#<alt (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* -1 (* (pow x 2) y))) z)) (* x y)) z))) z))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (* 4 (/ x y))>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (/ 4 y)>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt 4>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -4 (/ z y))>
#<alt (/ (+ (* -4 z) (* 4 y)) y)>
#<alt (/ (+ (* -4 z) (* 4 y)) y)>
#<alt (/ (+ (* -4 z) (* 4 y)) y)>
#<alt 4>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt 4>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (+ 4 (* -4 (/ z y)))>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* 4 (/ x y))>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt (/ (+ (* 4 x) (* 4 y)) y)>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt 4>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (+ 4 (* 4 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
Calls

75 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(/ y (- x z))
1.0ms
y
@inf
(* z (/ -4 y))
0.0ms
y
@0
(* z (/ -4 y))
0.0ms
z
@inf
(* z (/ -4 y))
0.0ms
y
@0
(/ y (- x z))

rewrite382.0ms (4%)

Memory
-17.2MiB live, 661.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 256×accelerator-lowering-fma.f32
5 256×accelerator-lowering-fma.f64
4 358×*-lowering-*.f32
4 358×*-lowering-*.f64
3 986×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02060
112260
290860
0842657
Stop Event
iter limit
node limit
Counts
12 → 504
Calls
Call 1
Inputs
(/ 4 (/ y (- x z)))
(+ 1 (/ 4 (/ y (- x z))))
(/ y (- x z))
(- x z)
(* x (/ 4 y))
(/ 4 y)
(* z (/ -4 y))
(/ -4 y)
(+ (* -4 (/ z y)) 4)
(/ z y)
(+ (* (/ x y) 4) 4)
(/ x y)
Outputs
(+.f64 (/.f64 z (*.f64 y #s(literal -1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) y) (neg.f64 x)) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(+.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 z (*.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -4 binary64) y)) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (-.f64 x z)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 x z)) y))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 z (neg.f64 y)) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal -1/4 binary64))) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (neg.f64 z) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 x (neg.f64 y)) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (neg.f64 x) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -4 binary64) y) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (neg.f64 z) (/.f64 #s(literal 4 binary64) y) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z #s(literal -1/4 binary64)) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/4 binary64)) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (*.f64 z #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 x z)) y))
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z)))
(/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 x z)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) (/.f64 #s(literal 4 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 x z)) (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z)) (*.f64 (-.f64 x z) (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))) (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 y (+.f64 x z))) (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 x z) (+.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) (+.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/4 binary64)) (-.f64 x z)))
(/.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 #s(literal -4 binary64) (neg.f64 (/.f64 y (-.f64 x z))))
(/.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -1 binary64) (-.f64 x z)))
(/.f64 (+.f64 z (neg.f64 x)) (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z)))
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal -4 binary64) (-.f64 x z))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z))) (*.f64 y (+.f64 x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (neg.f64 (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 x z) (+.f64 x z))) (neg.f64 (*.f64 y (+.f64 x z))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (+.f64 z (neg.f64 x))) (neg.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z))))))
(/.f64 (*.f64 (+.f64 x z) (+.f64 z (neg.f64 x))) (neg.f64 (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) (+.f64 x z))) (+.f64 x z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 x z)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))) (neg.f64 (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z)))) (neg.f64 (*.f64 y (+.f64 x z))))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))) (neg.f64 (neg.f64 (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 x z) (+.f64 x z)))) (neg.f64 (neg.f64 (*.f64 y (+.f64 x z)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))) (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) (+.f64 x z)))) (neg.f64 (+.f64 x z)))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (-.f64 x z))) y)
(/.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -64 binary64)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) (*.f64 y y)) (*.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) (*.f64 y y))) (-.f64 (/.f64 x (*.f64 y #s(literal 1/4 binary64))) (/.f64 z (*.f64 y #s(literal -1/4 binary64)))))
(pow.f64 (*.f64 (/.f64 y (-.f64 x z)) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))
(*.f64 #s(literal -4 binary64) (neg.f64 (/.f64 (-.f64 x z) y)))
(*.f64 (/.f64 #s(literal -4 binary64) y) (+.f64 z (neg.f64 x)))
(*.f64 (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z))))))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (-.f64 x z))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 x z) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 1/4 binary64)) (+.f64 x z))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 x z)) y))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x z))))
(*.f64 (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))))
(*.f64 (*.f64 #s(literal -4 binary64) (*.f64 (-.f64 x z) (+.f64 x z))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (+.f64 x z)))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (-.f64 x z) (+.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal -4 binary64) (-.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) (+.f64 x z)))) (/.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 x z)))
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) (+.f64 x z)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 x z)))
(*.f64 (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(*.f64 (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) (+.f64 x z)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 x z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 x z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)))) (/.f64 #s(literal 4 binary64) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) (+.f64 x z)))) (/.f64 #s(literal 4 binary64) (+.f64 x z)))
(*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 x z)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 x z)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (*.f64 y #s(literal 1/4 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 x z)) y))) (neg.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 (/.f64 (-.f64 x z) y) (/.f64 (-.f64 x z) y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 x z)) y)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) #s(literal -16 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -16 binary64)))) (neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)))) (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64)))
(*.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) #s(literal -16 binary64))))))
(*.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (*.f64 (/.f64 x y) #s(literal -16 binary64))))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 4 binary64))
(*.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) (+.f64 #s(literal 16 binary64) (*.f64 (/.f64 x y) #s(literal -16 binary64)))))))
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (/.f64 x (*.f64 y #s(literal 1/4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))

simplify558.0ms (5.9%)

Memory
-14.8MiB live, 510.1MiB allocated
Algorithm
egg-herbie
Rules
12 468×accelerator-lowering-fma.f32
12 468×accelerator-lowering-fma.f64
5 650×*-lowering-*.f32
5 650×*-lowering-*.f64
2 546×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211937
16491906
218801843
368141833
084391750
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ y (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
1
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
1
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* -4 (/ z y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(+ 1 (* 4 (/ x y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(/ y (- x z))
(/ y (- x z))
(/ y (- x z))
(/ y (- x z))
(/ y (- x z))
(/ y (- x z))
(/ y (- x z))
(/ y (- x z))
(/ y (- x z))
(/ y (- x z))
(/ y (- x z))
(/ y (- x z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1 (/ (* x y) (pow z 2))))
(+ (* -1 (/ y z)) (* x (- (* -1 (/ (* x y) (pow z 3))) (/ y (pow z 2)))))
(+ (* -1 (/ y z)) (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (/ y (pow z 3)))) (/ y (pow z 2)))))
(/ y x)
(/ (+ y (/ (* y z) x)) x)
(/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/ (- (+ y (/ (* y (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* y (pow z 2)) (pow x 2))))) x)
(/ y x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (* y z) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y z) (/ (* y (pow z 2)) x)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow z 2))) (* -1 (/ (* y (pow z 3)) x))) x)) (* y z)) x))) x))
(/ y x)
(+ (/ y x) (/ (* y z) (pow x 2)))
(+ (* z (- (/ (* y z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ y x))
(+ (* z (- (* z (- (/ (* y z) (pow x 4)) (* -1 (/ y (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ y x))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1 (/ (* x y) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (/ (* x y) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))) z)
(* -1 (/ y z))
(* -1 (/ (+ y (/ (* x y) z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow x 2) y) z)) (* x y)) z))) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* -1 (* (pow x 2) y))) z)) (* x y)) z))) z))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(* -4 (/ z y))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ z y))
(/ (+ (* -4 z) (* 4 y)) y)
(/ (+ (* -4 z) (* 4 y)) y)
(/ (+ (* -4 z) (* 4 y)) y)
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
4
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(+ 4 (* -4 (/ z y)))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ 1 x)) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* 4 (/ x y))
(/ (+ (* 4 x) (* 4 y)) y)
(/ (+ (* 4 x) (* 4 y)) y)
(/ (+ (* 4 x) (* 4 y)) y)
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
4
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(+ 4 (* 4 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ (- x z) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 z (*.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 z (*.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 z (*.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(* -4 (/ z y))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 z (*.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 z (*.f64 (/.f64 #s(literal 4 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 x z))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
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(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(/ (+ (* 4 x) (* 4 y)) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x y) y))
(/ (+ (* 4 x) (* 4 y)) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x y) y))
(/ (+ (* 4 x) (* 4 y)) y)
(*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x y) y))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(+ 4 (* 4 (/ x y)))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 4 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval150.0ms (1.6%)

Memory
4.4MiB live, 155.6MiB allocated
Compiler

Compiled 11 689 to 1 503 computations (87.1% saved)

prune276.0ms (2.9%)

Memory
-16.3MiB live, 167.6MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New8022804
Fresh011
Picked145
Done022
Total8039812
Accuracy
100.0%
Counts
812 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.5%
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
67.4%
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
41.2%
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
73.8%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
36.6%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
76.9%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z))))
36.5%
(*.f64 x (/.f64 #s(literal 4 binary64) y))
28.6%
#s(literal 4 binary64)
6.8%
#s(literal 1 binary64)
Compiler

Compiled 72 to 55 computations (23.6% saved)

simplify128.0ms (1.4%)

Memory
-6.7MiB live, 72.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z #s(literal -4 binary64))
cost-diff0
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
cost-diff0
(-.f64 x z)
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 x z))
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
Rules
784×accelerator-lowering-fma.f32
784×accelerator-lowering-fma.f64
496×*-lowering-*.f32
496×*-lowering-*.f64
262×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
12131
23931
36031
411231
519731
633731
753031
881031
9138031
10172331
11177431
12178931
13179031
14179031
0179031
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
1
(/ (* 4 (- x z)) y)
(* 4 (- x z))
4
(- x z)
x
z
y
(/ (* z -4) y)
(* z -4)
z
-4
y
Outputs
1
#s(literal 1 binary64)
(/ (* 4 (- x z)) y)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(* 4 (- x z))
(*.f64 #s(literal 4 binary64) (-.f64 x z))
4
#s(literal 4 binary64)
(- x z)
(-.f64 x z)
x
z
y
(/ (* z -4) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(* z -4)
(*.f64 z #s(literal -4 binary64))
z
-4
#s(literal -4 binary64)
y

localize94.0ms (1%)

Memory
22.1MiB live, 63.2MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
accuracy100.0%
(*.f64 z #s(literal -4 binary64))
accuracy100.0%
(-.f64 x z)
accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 x z))
accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
Samples
20.0ms256×0valid
Compiler

Compiled 33 to 13 computations (60.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (54.6% of total)
ival-div: 3.0ms (27.3% of total)
ival-sub: 2.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#<alt (/ (* 4 (- x z)) y)>
#<alt (* 4 (- x z))>
#<alt (- x z)>
#<alt (/ (* z -4) y)>
#<alt (* z -4)>
Outputs
#<alt (* -4 (/ z y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* 4 (/ x y))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (+ (* -4 (/ z y)) (* 4 (/ x y)))>
#<alt (* -4 (/ z y))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))>
#<alt (* -4 (/ z y))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* 4 (/ (- x z) y))>
#<alt (* -4 z)>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* x (+ 4 (* -4 (/ z x))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* -1 (* x (- (* 4 (/ z x)) 4)))>
#<alt (* 4 x)>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (+ (* -4 z) (* 4 x))>
#<alt (* -4 z)>
#<alt (* z (- (* 4 (/ x z)) 4))>
#<alt (* z (- (* 4 (/ x z)) 4))>
#<alt (* z (- (* 4 (/ x z)) 4))>
#<alt (* -4 z)>
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))>
#<alt (* -1 (* z (+ 4 (* -4 (/ x z)))))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 (/ z y))>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
#<alt (* -4 z)>
Calls

30 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(* 4 (- x z))
0.0ms
x
@0
(* 4 (- x z))
0.0ms
z
@inf
(* z -4)
0.0ms
x
@inf
(* 4 (- x z))
0.0ms
z
@-inf
(* z -4)

rewrite538.0ms (5.7%)

Memory
-8.1MiB live, 510.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 224×/-lowering-/.f32
4 224×/-lowering-/.f64
3 872×*-lowering-*.f32
3 872×*-lowering-*.f64
3 634×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
14423
227023
3253423
0875823
Stop Event
iter limit
node limit
Counts
5 → 407
Calls
Call 1
Inputs
(/ (* 4 (- x z)) y)
(* 4 (- x z))
(- x z)
(/ (* z -4) y)
(* z -4)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x)) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal 4 binary64) (-.f64 x z)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) x)) (neg.f64 y)) (/.f64 (*.f64 #s(literal 4 binary64) z) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) x) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x z) y))))
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z)))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/.f64 #s(literal -4 binary64) (neg.f64 (/.f64 y (-.f64 x z))))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) y)))
(/.f64 (*.f64 (-.f64 x z) #s(literal -4 binary64)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 4 binary64) (-.f64 x z))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/4 binary64) (-.f64 x z)))
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (-.f64 x z) #s(literal -4 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 x z))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z))) (*.f64 y (+.f64 x z)))
(/.f64 (*.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))) y))
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 x z))) #s(literal 4 binary64)) (*.f64 (neg.f64 (+.f64 x z)) y))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z))) #s(literal 1 binary64)) (*.f64 y (+.f64 x z)))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z))) #s(literal -1 binary64)) (*.f64 (+.f64 x z) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z)))) (*.f64 y (+.f64 x z)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z)))) (*.f64 (neg.f64 y) (+.f64 x z)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z)))) (neg.f64 (*.f64 y (+.f64 x z))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) #s(literal -4 binary64))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (-.f64 x z) #s(literal -4 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z)))) (+.f64 x z))
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 (*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 4 binary64) y)) (+.f64 x z))
(/.f64 (*.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 x z))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (+.f64 x z)))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 x x (*.f64 z (+.f64 x z))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z))) (/.f64 #s(literal 1 binary64) y)) (+.f64 x z))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) #s(literal 1 binary64)) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) (-.f64 x z)))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (*.f64 (-.f64 x z) #s(literal -4 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (-.f64 x z) #s(literal -4 binary64)))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 (-.f64 x z) #s(literal -4 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (+.f64 x z))))) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))) (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 x x (*.f64 z (+.f64 x z))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (+.f64 x z))) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x z) (+.f64 x z))))) (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (+.f64 x z))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) #s(literal -1 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) #s(literal -4 binary64)))) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) #s(literal 4 binary64))) (neg.f64 (*.f64 (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z)))) y)))
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(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))))
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(/.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 z (+.f64 x z))))) (pow.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 x x (*.f64 z (+.f64 x z))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 x x (*.f64 z (+.f64 x z))))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 x x (*.f64 z (+.f64 x z)))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 z (+.f64 x z)))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 x x (*.f64 z (+.f64 x z)))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z)))) (pow.f64 (neg.f64 (*.f64 z (/.f64 z (+.f64 x z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z)) (-.f64 (*.f64 (neg.f64 (*.f64 z (/.f64 z (+.f64 x z)))) (neg.f64 (*.f64 z (/.f64 z (+.f64 x z))))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (neg.f64 (*.f64 z (/.f64 z (+.f64 x z))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 z x) (-.f64 z x) (*.f64 #s(literal 0 binary64) (-.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 (+.f64 x #s(literal 0 binary64)) (+.f64 x #s(literal 0 binary64)) (fma.f64 z z (*.f64 (+.f64 x #s(literal 0 binary64)) z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (/.f64 (-.f64 x z) (fma.f64 x x (*.f64 z (+.f64 x z)))))
(*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (+.f64 x z))))))
(*.f64 #s(literal 1 binary64) (-.f64 x z))
(*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (+.f64 x z)))
(*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(*.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 z (+.f64 x z))))))
(*.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 x z))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (+.f64 x z)))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (+.f64 x z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (*.f64 (-.f64 x z) (+.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x z) (+.f64 x z))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (fma.f64 z (-.f64 z x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (*.f64 (-.f64 x z) (+.f64 x z))) (-.f64 x z))
(*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (+.f64 x z)) (*.f64 (*.f64 z (+.f64 x z)) (*.f64 z (+.f64 x z)))))) (fma.f64 (*.f64 z (+.f64 x z)) (-.f64 (*.f64 z (+.f64 x z)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z))))) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z))))
(*.f64 (pow.f64 (/.f64 (+.f64 x z) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 x x (*.f64 z z)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x z) (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (-.f64 x z) (+.f64 x z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z z))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 4 binary64) z) y))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) z) y))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y)))
(/.f64 z (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(/.f64 (*.f64 #s(literal 4 binary64) z) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal -4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/4 binary64) z))
(/.f64 (neg.f64 z) (neg.f64 (*.f64 y #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal 4 binary64) z)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 #s(literal -1/4 binary64) z)))
(/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64)) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (*.f64 z #s(literal -4 binary64)))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) z))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal 4 binary64) z))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y (*.f64 #s(literal 4 binary64) z))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (/.f64 (*.f64 z #s(literal -4 binary64)) #s(literal -1 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 y #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) z))) y)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 y #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1 binary64))) y)
(/.f64 (neg.f64 (/.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) z) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) z) y) (/.f64 (*.f64 #s(literal 4 binary64) z) y) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) z) y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 0 binary64) y) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) z) y) (/.f64 (*.f64 #s(literal 4 binary64) z) y) (*.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 4 binary64) z) y)))))
(pow.f64 (/.f64 z (*.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (*.f64 z #s(literal -4 binary64))) (/.f64 y (*.f64 z #s(literal -4 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (*.f64 z #s(literal -4 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 z (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal 4 binary64) (/.f64 z (neg.f64 y)))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64)))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(*.f64 #s(literal -4 binary64) (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 z #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z (*.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 z) (/.f64 #s(literal 4 binary64) y))
(*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal -4 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) z) y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 4 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) z)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (pow.f64 (/.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 z #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z))
(neg.f64 (*.f64 #s(literal 4 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z #s(literal -4 binary64)) (*.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) z)))))
(*.f64 #s(literal 4 binary64) (neg.f64 z))
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
(*.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 z)))
(*.f64 #s(literal -4 binary64) (*.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 z #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal -4 binary64)))
(*.f64 (neg.f64 z) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) z))
(*.f64 (neg.f64 (neg.f64 z)) #s(literal -4 binary64))

simplify437.0ms (4.6%)

Memory
16.9MiB live, 371.3MiB allocated
Algorithm
egg-herbie
Rules
6 438×accelerator-lowering-fma.f32
6 438×accelerator-lowering-fma.f64
3 778×*-lowering-*.f32
3 778×*-lowering-*.f64
1 296×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068723
1204723
2583567
31806567
43547567
55242567
66272567
76352567
86376567
96379567
107376567
08076567
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* -4 z)
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ z x))))
(* x (+ 4 (* -4 (/ z x))))
(* x (+ 4 (* -4 (/ z x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ z x)) 4)))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(* 4 x)
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(+ (* -4 z) (* 4 x))
(* -4 z)
(* z (- (* 4 (/ x z)) 4))
(* z (- (* 4 (/ x z)) 4))
(* z (- (* 4 (/ x z)) 4))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
(* -4 z)
Outputs
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* 4 (/ (- x z) y))
(*.f64 #s(literal -4 binary64) (/.f64 (-.f64 z x) y))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ z x))))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* x (+ 4 (* -4 (/ z x))))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* x (+ 4 (* -4 (/ z x))))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ z x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -1 (* x (- (* 4 (/ z x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(+ (* -4 z) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (* 4 (/ x z)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* z (- (* 4 (/ x z)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* z (- (* 4 (/ x z)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -1 (* z (+ 4 (* -4 (/ x z)))))
(*.f64 #s(literal -4 binary64) (-.f64 z x))
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(neg.f64 z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 (/ z y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)

eval75.0ms (0.8%)

Memory
2.8MiB live, 158.3MiB allocated
Compiler

Compiled 11 254 to 1 396 computations (87.6% saved)

prune88.0ms (0.9%)

Memory
0.2MiB live, 167.3MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New5261527
Fresh000
Picked033
Done156
Total5279536
Accuracy
100.0%
Counts
536 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.5%
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
67.4%
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
41.2%
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
73.8%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
36.6%
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
73.5%
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z)))
36.5%
(*.f64 x (/.f64 #s(literal 4 binary64) y))
28.6%
#s(literal 4 binary64)
6.8%
#s(literal 1 binary64)
Compiler

Compiled 176 to 94 computations (46.6% saved)

regimes31.0ms (0.3%)

Memory
-34.3MiB live, 83.2MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 y #s(literal 3/4 binary64) x) z))))
Outputs
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
Calls

5 calls:

7.0ms
z
7.0ms
x
5.0ms
y
5.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
5.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
100.0%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes22.0ms (0.2%)

Memory
34.3MiB live, 72.5MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
Calls

5 calls:

5.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
4.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
88.9%3x
88.6%3y
89.0%3z
99.5%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
99.5%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes12.0ms (0.1%)

Memory
4.6MiB live, 44.1MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
(neg.f64 (fma.f64 x (/.f64 #s(literal -4 binary64) y) #s(literal -4 binary64)))
Outputs
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
Calls

3 calls:

4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
4.0ms
z
3.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
89.0%3z
70.6%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
70.6%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes12.0ms (0.1%)

Memory
-10.6MiB live, 31.9MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(fma.f64 z (/.f64 #s(literal -4 binary64) y) #s(literal 4 binary64))
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
Calls

3 calls:

5.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
67.4%1y
82.3%3x
74.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.2%)

Memory
6.5MiB live, 45.6MiB allocated
Counts
6 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
Outputs
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/.f64 (*.f64 z #s(literal -4 binary64)) y)
Calls

5 calls:

4.0ms
x
3.0ms
y
3.0ms
z
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
59.8%6y
68.5%4(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
68.5%4(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
65.2%4z
57.8%3x
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes6.0ms (0.1%)

Memory
-21.6MiB live, 16.4MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
Outputs
(*.f64 z (/.f64 #s(literal -4 binary64) y))
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(*.f64 z (/.f64 #s(literal -4 binary64) y))
Calls

2 calls:

3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
68.3%4(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
68.3%4(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes4.0ms (0%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
Outputs
(*.f64 z (/.f64 #s(literal -4 binary64) y))
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
(*.f64 z (/.f64 #s(literal -4 binary64) y))
Calls

2 calls:

2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
68.3%4(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
68.3%4(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Memory
-20.1MiB live, 19.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
Outputs
(*.f64 x (/.f64 #s(literal 4 binary64) y))
#s(literal 4 binary64)
(*.f64 x (/.f64 #s(literal 4 binary64) y))
Calls

3 calls:

3.0ms
z
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
Results
AccuracySegmentsBranch
36.5%1z
61.8%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
61.8%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes8.0ms (0.1%)

Memory
22.2MiB live, 22.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 4 binary64)
Outputs
#s(literal 4 binary64)
Calls

5 calls:

2.0ms
z
2.0ms
x
2.0ms
y
1.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
28.6%1z
28.6%1y
28.6%1x
28.6%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
28.6%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes8.0ms (0.1%)

Memory
-21.7MiB live, 20.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

5 calls:

3.0ms
x
1.0ms
y
1.0ms
z
1.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
6.8%1y
6.8%1x
6.8%1z
6.8%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y))
6.8%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y)
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0088040583227467
1405294.8000532892
0.0ms
-6.810019775120298e+19
2.8657398914592287
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch32.0ms (0.3%)

Memory
-2.6MiB live, 75.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.0400254248624603e+51
5.827437903563413e+60
13.0ms
-5.87787689050429e+165
-1.1095502474084459e+157
Samples
17.0ms288×0valid
Compiler

Compiled 379 to 288 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 3.0ms (30.2% of total)
ival-mult: 3.0ms (30.2% of total)
ival-div: 2.0ms (20.2% of total)
ival-sub: 1.0ms (10.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Memory
33.3MiB live, 71.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
3.341531576263357e+136
3.3986163396517206e+143
14.0ms
-2.0493375790317604e+171
-8.193310924326928e+157
Samples
20.0ms304×0valid
Compiler

Compiled 380 to 303 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.3% of total)
ival-add: 3.0ms (28.7% of total)
ival-div: 2.0ms (19.2% of total)
ival-sub: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0222878438409194e+75
1.2563942413328363e+83
0.0ms
3.0088040583227467
1405294.8000532892
0.0ms
-6.810019775120298e+19
2.8657398914592287
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0222878438409194e+75
1.2563942413328363e+83
0.0ms
3.0088040583227467
1405294.8000532892
0.0ms
-6.810019775120298e+19
2.8657398914592287
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0222878438409194e+75
1.2563942413328363e+83
0.0ms
3.0088040583227467
1405294.8000532892
0.0ms
-6.810019775120298e+19
2.8657398914592287
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0088040583227467
1405294.8000532892
0.0ms
-6.810019775120298e+19
2.8657398914592287
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify18.0ms (0.2%)

Memory
-43.6MiB live, 44.5MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
+-commutative_binary64
if-if-or-not_binary32
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060302
184302
289302
391302
492302
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)))
(if (<=.f64 z #s(literal -11199999999999999508764561632951166857217065008206772961548947912331157324921793772337343352676777567740215872162728968179537739974577708681222341217155547136 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) (if (<=.f64 z #s(literal 719999999999999996480212513224125996905928507926798925824 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))))
(if (<=.f64 x #s(literal -195000000000000009857848023657282814884296903834489549618397360966320644530526171248723863199138362529260461593252848500802187878014811804427531816726331079524352 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (if (<=.f64 x #s(literal 4400000000000000144502874952501674747542855291982291460254179075538486830354667180393605788762000615809377821051018716546053358790530564096 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000000000 binary64)) (/.f64 (*.f64 z #s(literal -4 binary64)) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000000000 binary64)) (*.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (*.f64 z (/.f64 #s(literal -4 binary64) y)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000000000 binary64)) (*.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (*.f64 x (/.f64 #s(literal 4 binary64) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000000000 binary64)) (*.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)))
(if (<=.f64 z #s(literal -11199999999999999508764561632951166857217065008206772961548947912331157324921793772337343352676777567740215872162728968179537739974577708681222341217155547136 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) (if (<=.f64 z #s(literal 719999999999999996480212513224125996905928507926798925824 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64))))
(if (<=.f64 x #s(literal -195000000000000009857848023657282814884296903834489549618397360966320644530526171248723863199138362529260461593252848500802187878014811804427531816726331079524352 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (if (<=.f64 x #s(literal 4400000000000000144502874952501674747542855291982291460254179075538486830354667180393605788762000615809377821051018716546053358790530564096 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000000000 binary64)) (/.f64 (*.f64 z #s(literal -4 binary64)) y) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (/.f64 (*.f64 z #s(literal -4 binary64)) y))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000000000 binary64)) (*.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) y) (*.f64 z (/.f64 #s(literal -4 binary64) y)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000000000 binary64)) (*.f64 z (/.f64 #s(literal -4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (*.f64 x (/.f64 #s(literal 4 binary64) y)) (*.f64 z (/.f64 #s(literal -4 binary64) y)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal -50000000000000000000 binary64)) (*.f64 x (/.f64 #s(literal 4 binary64) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 3/4 binary64))) z)) y) #s(literal 5 binary64)) #s(literal 4 binary64) (*.f64 x (/.f64 #s(literal 4 binary64) y))))
#s(literal 4 binary64)
#s(literal 1 binary64)

soundness1.3s (13.7%)

Memory
30.1MiB live, 1 051.2MiB allocated
Rules
12 468×accelerator-lowering-fma.f32
12 468×accelerator-lowering-fma.f64
12 206×accelerator-lowering-fma.f32
12 206×accelerator-lowering-fma.f64
12 076×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02383
115482
2126182
0817774
03763257
111333151
233312972
083052777
01481462
14461462
212221252
336841200
082661070
02211937
16491906
218801843
368141833
084391750
01245
16845
262345
0846939
02060
112260
290860
0842657
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 502 to 200 computations (60.2% saved)

preprocess68.0ms (0.7%)

Memory
4.6MiB live, 159.9MiB allocated
Compiler

Compiled 680 to 144 computations (78.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...